Interests:

Development of time- and memory-efficient adaptive grid refinement techniques for solving systems of nonlinear elliptic PDEs in two and three dimensions, including multiple-scale finite-difference/finite-volume discretizations, treatment of nonstandard sparsity structures arising in related matrices, and algorithm parallelization. Application of these techniques to steady and unsteady multidimensional laminar combustion phenomena, fluid dynamics, heat transfer, and solidification. More Information